AbstractIn 1878 Lucas established a method of computing binomial coefficients modulo a prime. We establish the following variations of Lucas' Theorem. If n, r, n0, and r0 are non-negative integers, p ≥ 5 is prime, and n0, r0 are less than p, then nprp≡nr (modp3 and np3+n0rp3+r0≡nrn0r0 (modp
AbstractLet p > 3 be a prime, and n, k, a, b, r, and s be non-negative integers, n, k, r, s > 0, 0 ≤...
AbstractLet p > 3 be a prime, and n, k, a, b, r, and s be non-negative integers, n, k, r, s > 0, 0 ≤...
AbstractThe Lucas theorem for binomial coefficients implies some interesting tensor product properti...
AbstractIn 1878 Lucas established a method of computing binomial coefficients modulo a prime. We est...
Lucas' theorem on binomial coefficients states that (AB)≡(arbr)⋯(a1b1)(a0b0)(mod p) where p is a pri...
Lucas' theorem describes how to reduce a binomial coefficient $\binom{a}{b}$ modulo $p$ by breaking ...
We give elementary proofs of some congruence criteria to compute binomial coefficients in modulo a p...
Lucas' theorem gives a congruence for a binomial coefficient modulo a prime. Davis and Webb (Europ. ...
AbstractFor p prime and . A parallel, but rather different congruence holds modulo p3
AbstractWe prove that Apéry numbers satisfy an analog mod p, p2 and p3 of the congruence of Lucas fo...
AbstractWe prove that Apéry numbers satisfy an analog mod p, p2 and p3 of the congruence of Lucas fo...
AbstractFor p prime and . A parallel, but rather different congruence holds modulo p3
Lucas ’ theorem gives a congruence for a binomial coefficient modulo a prime. Davis and Webb (Europ....
We prove two properties regarding the Fibonacci and Lucas Sequences modulo a prime and use these to ...
AbstractLucas' theorem gives a congruence for a binomial coefficient modulo a prime. Davis and Webb ...
AbstractLet p > 3 be a prime, and n, k, a, b, r, and s be non-negative integers, n, k, r, s > 0, 0 ≤...
AbstractLet p > 3 be a prime, and n, k, a, b, r, and s be non-negative integers, n, k, r, s > 0, 0 ≤...
AbstractThe Lucas theorem for binomial coefficients implies some interesting tensor product properti...
AbstractIn 1878 Lucas established a method of computing binomial coefficients modulo a prime. We est...
Lucas' theorem on binomial coefficients states that (AB)≡(arbr)⋯(a1b1)(a0b0)(mod p) where p is a pri...
Lucas' theorem describes how to reduce a binomial coefficient $\binom{a}{b}$ modulo $p$ by breaking ...
We give elementary proofs of some congruence criteria to compute binomial coefficients in modulo a p...
Lucas' theorem gives a congruence for a binomial coefficient modulo a prime. Davis and Webb (Europ. ...
AbstractFor p prime and . A parallel, but rather different congruence holds modulo p3
AbstractWe prove that Apéry numbers satisfy an analog mod p, p2 and p3 of the congruence of Lucas fo...
AbstractWe prove that Apéry numbers satisfy an analog mod p, p2 and p3 of the congruence of Lucas fo...
AbstractFor p prime and . A parallel, but rather different congruence holds modulo p3
Lucas ’ theorem gives a congruence for a binomial coefficient modulo a prime. Davis and Webb (Europ....
We prove two properties regarding the Fibonacci and Lucas Sequences modulo a prime and use these to ...
AbstractLucas' theorem gives a congruence for a binomial coefficient modulo a prime. Davis and Webb ...
AbstractLet p > 3 be a prime, and n, k, a, b, r, and s be non-negative integers, n, k, r, s > 0, 0 ≤...
AbstractLet p > 3 be a prime, and n, k, a, b, r, and s be non-negative integers, n, k, r, s > 0, 0 ≤...
AbstractThe Lucas theorem for binomial coefficients implies some interesting tensor product properti...
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